Atkin-Lehner |
5+ 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
17225a |
Isogeny class |
Conductor |
17225 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
2498250751953125 = 510 · 136 · 53 |
Discriminant |
Eigenvalues |
0 2 5+ 1 -3 13+ 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-679583,-215391557] |
[a1,a2,a3,a4,a6] |
Generators |
[3512295193:139787934091:1771561] |
Generators of the group modulo torsion |
j |
3554281546547200/255820877 |
j-invariant |
L |
5.786144567105 |
L(r)(E,1)/r! |
Ω |
0.16628028126272 |
Real period |
R |
17.398769484768 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17225k2 |
Quadratic twists by: 5 |